1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
3 years ago
10

A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 7.3 mm) carries a current of 36 A distributed uniformly

across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 52 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.1 mm, (b) 3.6 mm, and (c) 7.4 mm from the central axis of the wire and cylinder?

Physics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

a. B= 9.45 \times10^{-3} T

b. B= 0.820 T

c. B= 0.0584 T

Explanation:

First, look at the picture to understand the problem before to solve it.

a. d1 = 1.1 mm

Here, the point is located inside the cilinder, just between the wire and the inner layer of the conductor. Therefore, we only consider the wire's current to calculate the magnetic field as follows:

To solve the equations we have to convert all units to those of the international system. (mm→m)

B=\frac{u_{0}I_{w}}{2\pi d_{1}} =\frac{52 \times4\pi \times10^{-7} }{2\pi 1.1 \times 10^{-3}} =9.45 \times10^{-3} T\\

μ0 is the constant of proportionality

μ0=4πX10^-7 N*s2/c^2

b. d2=3.6 mm

Here, the point is located in the surface of the cilinder. Therefore, we have to consider the current density of the conductor to calculate the magnetic field as follows:

J: current density

c: outer radius

b: inner radius

The cilinder's current is negative, as it goes on opposite direction than the wire's current.

J= \frac {-I_{c}}{\pi(c^{2}-b^{2}  ) }}

J=\frac{-36}{\pi(5.33\times10^{-5}-1.16\times10^{-5}) } =-274.80\times10^{3} A/m^{2}

B=\frac{u_{0}(I_{w}-JA_{s})}{2\pi d_{2} } \\A_{s}=\pi (d_{2}^{2}-b^2)=4.40\times10^{-6} m^2\\

B=\frac{6.68\times10^{-5}}{8.14\times10^{-5}} =0.820 T

c. d3=7.4 mm

Here, the point is located out of the cilinder. Therefore, we have to consider both, the conductor's current and the wire's current as follows:

B=\frac{u_{0}(I_w-I_c)}{2\pi d_3 } =\frac{2.011\times10^-5}{3.441\times10^{-4}} =0.0584 T

As we see, the magnitud of the magnetic field is greater inside the conductor, because of the density of current and the material's nature.

You might be interested in
When vibrational motion in an object increases, which is a true statement?
zubka84 [21]
A -..................................is the correct option
6 0
3 years ago
Read 2 more answers
Which is a property of ionic compounds?
GaryK [48]
Able to conduct electricity
4 0
3 years ago
Read 2 more answers
A person who weighs 150 pounds on Earth would weigh ____ pounds on the moon.
enot [183]

Answer:

25lb

Explanation:

You haven't changed (you are made up of the same atoms), but the force exerted on you is different. Physicists like to say that your mass hasn't changed, only your weight.

6 0
3 years ago
If Earth rotated twice as fast as it currently does, but is motion around the Sun stayed the same, then ____.
I am Lyosha [343]

I think it will be (B).

5 0
3 years ago
Could someone please explain to me Archimede's principle without using the term displace (or at least explaining what it means)?
disa [49]
Does this help?

When an object is immersed in a fluid (in this case water, but may include both liquids and gases) the fluid exerts an upward force on the object which is called buoyancy force or <span>up-thrust.  Archimedes’ Principle states that the buoyant force (upward push or force) applied to an object is equal to the weight of the fluid that the object takes the space of by that object.  Thus when an object is placed in water the rise in the water level is dictated by the mass of that object.</span>

<span>
</span>

<span>So for example if you fill a bucket with water and you drop a stone in that bucket, if you measure the weight of the water that overflows from the bucket due to the stone being dropped into the bucket is equivalent to the pushing force that the water has on the stone (as the stone drops to the bottom of the bucket the water is pushing it to stay afloat but the rock is more dense than water and as such its downthrust exceeds water's upthrust).</span>


4 0
3 years ago
Other questions:
  • What average power must be supplied to the rope to generate sinusoidal waves that have amplitude 0.200 m and wavelength 0.600 m
    9·1 answer
  • What method of heat transfer does heat energy use to reach earth from the sun?
    14·2 answers
  • A(n) 59 kg astronaut becomes separated from
    15·1 answer
  • During an observation, it was noticed that light diffracts as it passes through small slits in a barrier. What does this evidenc
    7·1 answer
  • An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 1.70 mm. A 21
    15·1 answer
  • 4. What happens to energy during the formation of a solution?
    7·1 answer
  • if a string of light goes out when one of the bulbs is removed, are the lights probably connected in a series circuit or a paral
    10·2 answers
  • The actual depth of a shallow pool 1.00 m deep is not the same as the apparent depth seen when you look straight down at the poo
    13·1 answer
  • Two conductors are made of the same material and have the same length. Conductor A is a solid wire of diameter 2.4 mm. Conductor
    12·2 answers
  • 1. When you talk into your paper cup telephone, the person on the other end can feel the bottom
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!